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Maharashtra State BoardSSC (English Medium) 9th Standard

If ab=23 then find the value of the following expression. 4a+3b3b - Algebra

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Question

If `bb(a/b = 2/3)` then find the value of the following expression.

`[ 4a + 3b ]/( 3b )`

Sum

Solution

`a/b = 2/3`

⇒ `[4a]/[3b] = [4 xx 2]/[ 3 xx 3] = 8/9`

Applying componendo, we get

`[ 4a + 3b]/(3b) = [ 8 + 9]/9`

⇒ `[ 4a + 3b]/(3b) = [ 17 ]/9`

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Operations on Equal Ratios
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Chapter 4: Ratio and Proportion - Problem Set 4 [Page 78]

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Balbharati Algebra (Mathematics 1) [English] 9 Standard Maharashtra State Board
Chapter 4 Ratio and Proportion
Problem Set 4 | Q (8) (i) | Page 78
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